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Finding the Third Proportional to 75,866,308 and 108,411,308

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Solution

The third proportional to 75,866,308 and 108,411,308 is: 154,917,406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,866,308 : 108,411,308 = 108,411,308 : x
  2. Step 2: Convert to fraction form
    75,866,308/108,411,308 = 108,411,308/x
  3. Step 3: Cross multiply
    75,866,308x = 108,411,308 × 108,411,308
  4. Step 4: Simplify right side
    75,866,308x = 11,753,011,702,270,864
  5. Step 5: Solve for x
    x = 11,753,011,702,270,864/75,866,308
  6. Step 6: Final answer
    x = 154,917,406.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.